Geodesic
Gibbs measures for the SOS model with four states on a Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 1, pp. 18-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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We analyze the SOS {(}solid-on-solid{\rm)} model with spins 0, 1, 2, 3 on a Cayley tree of order $k\ge 1$. We consider translation-invariant and periodic splitting Gibbs measures for this model. The majority of the constructed Gibbs measures are mirror symmetric.
Keywords: Cayley tree, Gibbs measure, periodic Gibbs measure.
Mots-clés : configuration 
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U. A. Rozikov; Sh. A. Shoyusupov. Gibbs measures for the SOS model with four states on a Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 1, pp. 18-31. http://geodesic.mathdoc.fr/item/TMF_2006_149_1_a1/

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